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Cluster synchronization in directed networks of partial-state coupled linear systems under pinning control

Yu, Changbin (Brad); Qin, Jiahu; Gao, Huijun

Description

This paper investigates the cluster synchronization for network of linear systems via a generalized pinning control strategy which allows the network of each cluster to take relaxed topological structure. For the case with fixed topology, it is shown that a feasible feedback controller can be designed to achieve the given cluster synchronization pattern if the induced network topology of each cluster has a directed spanning tree and further compared to the couplings among different clusters,...[Show more]

dc.contributor.authorYu, Changbin (Brad)
dc.contributor.authorQin, Jiahu
dc.contributor.authorGao, Huijun
dc.date.accessioned2015-12-13T22:33:19Z
dc.identifier.issn0005-1098
dc.identifier.urihttp://hdl.handle.net/1885/75968
dc.description.abstractThis paper investigates the cluster synchronization for network of linear systems via a generalized pinning control strategy which allows the network of each cluster to take relaxed topological structure. For the case with fixed topology, it is shown that a feasible feedback controller can be designed to achieve the given cluster synchronization pattern if the induced network topology of each cluster has a directed spanning tree and further compared to the couplings among different clusters, the couplings within the each cluster are sufficiently strong. An extra balanced condition is imposed on the network topology of each cluster to allow for the cluster synchronization under arbitrary switching network topologies. Such a balanced condition can be removed via the use of dwell-time technique. For all the cases, the lower bounds for such strengths of couplings within each cluster that secure the synchronization as well as cluster synchronization rate are explicitly specified. Finally, some illustrative examples are provided to demonstrate the effectiveness of the theoretical findings.
dc.publisherPergamon-Elsevier Ltd
dc.sourceAutomatica
dc.titleCluster synchronization in directed networks of partial-state coupled linear systems under pinning control
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume50
dc.date.issued2014
local.identifier.absfor010000 - MATHEMATICAL SCIENCES
local.identifier.ariespublicationU3488905xPUB4896
local.type.statusPublished Version
local.contributor.affiliationYu, Changbin (Brad), College of Engineering and Computer Science, ANU
local.contributor.affiliationQin, Jiahu, College of Engineering and Computer Science, ANU
local.contributor.affiliationGao, Huijun, Harbin Institute of Technology
local.description.embargo2037-12-31
local.bibliographicCitation.issue9
local.bibliographicCitation.startpage2341
local.bibliographicCitation.lastpage2349
local.identifier.doi10.1016/j.automatica.2014.07.013
dc.date.updated2015-12-11T09:15:40Z
local.identifier.scopusID2-s2.0-84908506881
local.identifier.thomsonID000342479400014
CollectionsANU Research Publications

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